Each side of a regular hexagon subtends 60° at the centre. The triangle formed is equilateral, so each side is r. The distance from the centre to each side is (√3/2)r.
A regular hexagon is inscribed in a circle of radius r. Find the length of the sides of the hexagon and the distance of each side from the centre of the circle.
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A regular hexagon divides the circle into six equal sectors. Therefore, the central angle corresponding to each side is 60°. The triangle formed by two radii and one side has two sides equal to r and included angle 60°, so it is equilateral. Hence, each side of the hexagon is r.
The perpendicular distance from the centre to a side is the altitude of this equilateral triangle.
Therefore, distance = (√3/2)r.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 5 I’m Up and Down and Round and Round (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-5/